Step by Step Long Division Calculator

Welcome to the our Step by Step Long Division page.

Find out how long division works and solve your own long division problems step-by-step the easy way with our calculator.

Take a look at some of our worked examples or try some of our practice worksheets.

The Steps in Long Division

Here are the 4 steps in each stage.

1. Divide
2. Multiply
3. Subtract
4. Bring the next number(s) down

Step by Step Long Division Calculator

Simply enter the dividend in the first box and the divisor in the 2nd box.

Click on the 'Get Answer' box to find the answer and get the step-by-step working out you need!

The calculator will show you the completed long division method first.

The calculator will then break up the long division method into stages and steps so that you can follow it through from beginning to end so see all the working out.

Examples of Step by Step Long Division

Example 1) Work out 84 ÷ 3

So we are working out $3 \enclose {longdiv} {84}$

Stage 1

Step 1) Divide

First step is to work out 8 ÷ 3, which means we need to find how many groups of 3 make 8.

We can get 2 groups of 3 in 8 so we write a 2 on the answer line above the 8: $\begin {array}{l} \quad 2 \\ 3 \enclose {longdiv} {84} \\ \end{array}$

Step 2) Multiply

We multiply the number of groups by the divisor: 2 x 3 = 6 and write this underneath the 8: $\begin {array}{l} \quad 2 \\ 3 \enclose {longdiv} {84} \\ \quad \underline{6} \end{array}$

Step 3) Subtract

Next we subtract 6 from 8 to get 2 which we write underneath the 6. $\begin {array}{l} \quad 2 \\ 3 \enclose {longdiv} {84} \\ \quad \underline{6} \\ \quad 2 \end{array}$

Step 4) Bring down

The next step is to bring down the 4 and put it next to the 2 $\begin {array}{l} \quad 2 \\ 3 \enclose {longdiv} {84} \\ \quad \underline{6} \\ \quad 24 \end{array}$

Stage 2

Step 1) Divide

We now have to work out 24 ÷ 3, or how many groups of 3 make 24.

There are 8 groups of 3 in 24. So we write an 8 on the answer line above the 4: $\begin {array}{l} \quad 28 \\ 3 \enclose {longdiv} {84} \\ \quad \underline{6} \\ \quad 24 \\ \end{array}$

Step 2) Multiply

8 groups of 3 make 24. We write this underneath the 24: $\begin {array}{l} \quad 28 \\ 3 \enclose {longdiv} {84} \\ \quad \underline{6} \\ \quad 24 \\ \quad \underline{24} \end{array}$

Step 3) Subtract

Finally subtract 24 from 24 to give us an answer of 0 which we write underneath the 24. $\begin {array}{l} \quad 28 \\ 3 \enclose {longdiv} {84} \\ \quad \underline{6} \\ \quad 24 \\ \quad \underline{24} \\ \quad \; \; 0 \end{array}$

Step 4) Bring down next digit

There are no more digits to bring down so we have finished. There is a 0 at the bottom of the long division which means there is no remainder.

Answer: 84 ÷ 3 = 28

The fact that there is no remainder means that the dividend, which is 84, is a multiple of the divisor, which is 3, and also that the divisor is a factor of the dividend!

Example 2) Work out 347 ÷ 4

So we are working out $4 \enclose {longdiv} {347}$

Stage 1

Step 1) Divide

FIrst step is to work out 3 ÷ 4, which means we need to find how many groups of 4 make 3.

There are 0 groups of 4 in 3, so we write a 0 on the answer line above the 3 then keep the 3 in its place and go on to the next digit which is 4.

This gives us: $\begin {array}{l} \quad 0 \\ 4 \enclose {longdiv} {347} \end{array}$

So we need to work out 34 ÷ 4, or find how many groups of 4 make 34.

We can get 8 groups of 4 in 34 so we write an 8 on the answer line above the 4.

This gives us: $\begin {array}{l} \quad 08 \\ 4 \enclose {longdiv} {347} \end{array}$

Step 2) Multiply

8 groups of 4 make 32. We write this underneath the 34: $\begin {array}{l} \quad 08 \\ 4 \enclose {longdiv} {347} \\ \quad \underline {32} \end{array}$

Step 3) Subtract

We subtract 32 from 34 to give us an answer of 2 which we put underneath the 32: $\begin {array}{l} \quad 08 \\ 4 \enclose {longdiv} {347} \\ \quad \underline {32} \\ \quad \; \; 2 \end{array}$

Step 4) Bring down next digit

Next we bring the 7 down alongside the 2. $\begin {array}{l} \quad 08 \\ 4 \enclose {longdiv} {347} \\ \quad \underline {32} \\ \quad \; \; 27 \end{array}$

Stage 2

Step 1) Divide

So we need to work out 27 ÷ 4, or find how many 4s make 27.

There are 6 groups of 4 in 27. So we write a 6 on the answer line above the 7: $\begin {array}{l} \quad 086 \\ 4 \enclose {longdiv} {347} \\ \quad \underline {32} \\ \quad \; \; 27 \end{array}$

Step 2) Multiply

6 groups of 4 make 24. We write this underneath the 27: $\begin {array}{l} \quad 086 \\ 4 \enclose {longdiv} {347} \\ \quad \underline {32} \\ \quad \; \; 27 \\ \quad \; \; \underline {24} \end{array}$

Step 3) Subtract

Finally we need to subtract 24 from 27 to give us 3 which we put underneath the 24.

$\begin {array}{l} \quad 086 \\ 4 \enclose {longdiv} {347} \\ \quad \underline {32} \\ \quad \; \; 27 \\ \quad \; \; \underline {24} \\ \quad \quad 3 \end{array}$

Step 4) Bring down next digit

There are no more digits to bring down so we have finished. The 3 at the bottom of the long division is the remainder.

Answer: 347 ÷ 4 = 86r3

If we wanted the remainder as a fraction, we would have 347 ÷ 4 = 86 ¾

Example 3) Work out 8165 ÷ 12

So we are working out $12 \enclose {longdiv} {8165}$

Stage 1

Step 1) Divide

FIrst step is to work out 8 ÷ 12, which means we need to find how many groups of 12 make 8.

There are 0 groups of 12 in 8, so we keep the 8 in its place and put a zero above the 8 then go on to the next digit which is 1.

This gives us: $\begin {array}{l} \quad \; 0 \\ 12 \enclose {longdiv} {8165} \end{array}$

So the next step is to work out 81 ÷ 12, or find how many groups of 12 make 81.

There are 6 groups of 12 in 81, so we put a 6 above the 1.

This gives us: $\begin {array}{l} \quad \; 06 \\ 12 \enclose {longdiv} {8165} \end{array}$

Step 2) Multiply

6 groups of 12 make 72. We write this underneath the 81. $\begin {array}{l} \quad \; 06 \\ 12 \enclose {longdiv} {8165} \\ \quad \; \, \underline {72} \end{array}$

Step 3) Subtract

We subtract 72 from 81 to get 9 which goes underneath the 72: $\begin {array}{l} \quad \; 06 \\ 12 \enclose {longdiv} {8165} \\ \quad \; \, \underline {72} \\ \qquad 9 \end{array}$

Step 4) Bring down next digit

Next we bring the 6 down alongside the 9. $\begin {array}{l} \quad \; 06 \\ 12 \enclose {longdiv} {8165} \\ \quad \; \, \underline {72} \\ \qquad 96 \end{array}$

Stage 2

Step 1) Divide

So we need to work out 96 ÷ 12, or find how many 12s make 96.

There are 8 groups of 12 in 96, so we write 8 in the answer line above the 6. $\begin {array}{l} \quad \; 068 \\ 12 \enclose {longdiv} {8165} \\ \quad \; \, \underline {72} \\ \qquad 96 \end{array}$

Step 2) Multiply

8 groups of 12 make 96 which we write underneath: $\begin {array}{l} \quad \; 068 \\ 12 \enclose {longdiv} {8165} \\ \quad \; \, \underline {72} \\ \qquad 96 \\ \qquad \underline{96} \end{array}$

Step 3) Subtract

Now we subtract 96 from 96 to give us 0. $\begin {array}{l} \quad \; 068 \\ 12 \enclose {longdiv} {8165} \\ \quad \; \, \underline {72} \\ \qquad 96 \\ \qquad \underline{96} \\ \qquad \; \: 0 \end{array}$

Step 4) Bring down next digit

Now we bring down the 5. $\begin {array}{l} \quad \; 068 \\ 12 \enclose {longdiv} {8165} \\ \quad \; \, \underline {72} \\ \qquad 96 \\ \qquad \underline{96} \\ \qquad \; \: 05 \end{array}$

Stage 3

Step 1) Divide

Nexy we need to work out 5 ÷ 12, or how many 12s make 5.

There are 0 groups of 12 in 5, so we write 0 above the 5 digit in the answer line: $\begin {array}{l} \quad \; 0680 \\ 12 \enclose {longdiv} {8165} \\ \quad \; \, \underline {72} \\ \qquad 96 \\ \qquad \underline{96} \\ \qquad \; \: 05 \\ \end{array}$

Step 2) Multiply

0 groups of 12 make 0, so we write 0 under the 05: $\begin {array}{l} \quad \; 0680 \\ 12 \enclose {longdiv} {8165} \\ \quad \; \, \underline {72} \\ \qquad 96 \\ \qquad \underline{96} \\ \qquad \; \: 05 \\ \qquad \; \: \underline {00} \end{array}$

Step 3) Subtract

Subtracting 0 from 5 gives us 5. $\begin {array}{l} \quad \; 0680 \\ 12 \enclose {longdiv} {8165} \\ \quad \; \, \underline {72} \\ \qquad 96 \\ \qquad \underline{96} \\ \qquad \; \: 05 \\ \qquad \; \: \underline {00} \\ \qquad \quad 5 \end{array}$

Step 4) Bring down next digit

There are no more digits to bring down so we have finished. The 5 at the bottom of the long division is the remainder.

Answer: 8165 ÷ 12 = 680r5

If we wanted the remainder as a fraction, we would have $8165 \div 12 = 680 {5 \over 12}$

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